λ
Harmonic Matrix

2,675,420

22 × 5 × 11 × 12161
Abundant Even Composite

2,675,420 has digital root 8. The neighboring primes are 2675419 and 2675423; its proper-divisor sum differs from the starting integer by 778,808.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 12161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,129,648
Proper Divisor Sum 3,454,228
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2675419 ← → #2675423

Radix Representation

Decimal 2675420
Binary 1010001101001011011100 (22 bits)
Octal 0o12151334
Hexadecimal 0x28D2DC

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 12,161 24,322 48,644 60,805 121,610 133,771 243,220 267,542 535,084 668,855 1,337,710 2,675,420

Collatz Trajectory (138 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,675,420 1,337,710 668,855 2,006,566 1,003,283 3,009,850 1,504,925 4,514,776 2,257,388 1,128,694 564,347 1,693,042 846,521 2,539,564 1,269,782 634,891 1,904,674 952,337 2,857,012 1,428,506 714,253 2,142,760 1,071,380 535,690 267,845 803,536 401,768 200,884 100,442 50,221 150,664 75,332 37,666 18,833 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834

More profiles

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